Showing 2021Show all
2 papers · 1 filter
math.RA2021
The Jordan-Hölder Theorem for Monoids with Group Action
Alfilgen Sebandal, Jocelyn P. Vilela
In this article, we prove an isomorphism theorem for the case of refinement -monoids. Based on this we show a version of the well-known Jordan-Hölder theorem in this framework.…
math.RA2021
Graphs with disjoint cycles, classification via the talented monoid
Roozbeh Hazrat, Alfilgen N. Sebandal, Jocelyn P. Vilela
We characterise directed graphs consisting of disjoint cycles via their talented monoids. We show that a graph consists of disjoint cycles precisely when its talented monoid $T…